Below are the models used to calculate the printing process energy consumption, based on the technology and input parameters.
FFF (Fused Filament Fabrication)
For FFF, you can choose between two models:
Rated Power Model:
E = 0.431 · 10-6 · P · t · 60
where the input parameters are:
This model uses the power (or size) of the printer as a predictor of energy consumption. It’s useful when comparing different sizes of printers. The calculation is based on a model, proposed by D. Manford and H. D. Budinoff (Manford, Budinoff, 2024).
Temperature-time Regression (TTR) Model:
E = -56 · 10-3 MJ + 7 · 10-6 MW/°C · TE · t + 89 · 10-6 MW/°C · TB · t
where the input parameters are:
This model uses bed and extruder temperatures as predictors of energy consumption. It’s useful for comparing different settings and materials that require different temperatures. The calculation is based on a model, proposed by N. Hopkins et al. (Hopkins et al., 2021).
SLA (Stereolithography)
E = 20.4 W · 10-6 · t · 60
Where the input parameter is:
- t = Printing time (min); the factor 60 is used to convert minutes into seconds
This is an empirical model, described by N. Hopkins et al. (Hopkins et al., 2021). Power consumption was directly measured using the Formlabs Form 1+ SLA printer, which has a 60W power supply. The average real power consumption during printing was 20.4 W. The model does not include post-processing.
SLS (Selective Laser Sintering)
E = 10-6 · P · t · 60
where the input parameters are:
-
P = Average power (W); Because we could not find any power models, tested across various SLS printers, the calculator uses three approximate categories for actual power consumption, approximated from technical datasheets:
- Small SLS printer: 2 kW
- Medium SLS printer: 5 kW
- Large SLS printer: 10 kW
-
t = Printing time (min); the factor 60 is used to convert minutes into seconds
This calculation is based on the basic relationship between average power, time and energy. Powder waste is not included in this model and should be accounted for additionally.